Question

A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. the player's foot is in contact with the ball for 1.6 × 10-3 s, and the force of the kick is given by f(t) = [(7.0 × 104)t - (1.6 × 106)t2] n for where it is in seconds. find the magnitudes of the maximum force on the ball from the player's foot during the period of contact,

Answer 1

The maximum force can be found by the following formula: fmax = impulse/time. We are given that time is 1.6 x 10^-3s, so to find impulse, we need to integrate the function from 1.6 x 10^-3 s to 0. We find that impulse = 0.08742, so fmax = .08742/1.6x1-^-3 = 54.63 N.